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Finding the Fourth Proportional to 948.57, 1,422.78 and 400.20

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Solution

The fourth proportional to 948.57, 1,422.78 and 400.20 is: 600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.57 : 1,422.78 = 400.20 : x
  2. Step 2: Convert to fraction form
    948.57/1,422.78 = 400.20/x
  3. Step 3: Cross multiply
    948.57x = 1,422.78 × 400.20
  4. Step 4: Simplify right side
    948.57x = 569,396.56
  5. Step 5: Solve for x
    x = 569,396.56/948.57
  6. Step 6: Final answer
    x = 600.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.